I NEED HELP PLEASE IF U ANSWER THIS RIGHT I WILL GIVE U BRAINEST AND 5 STARS ! I REALLY NEED HELP PLEASE HELP ME WITH THE QUESTION :(

Answer:

only 2

Step-by-step explanation:

because a parallel line through a point can only go through the point once

(cool pfp... NLE fire tho)

Since the slope is constant along a linear demand curve, elasticity is constant as well. - False

A linear demand curve does indeed have a constant slope, but this does not imply that it has a constant elasticity. The percentage change in the quantity required divided by the percentage change in price is the definition of elasticity. For a linear demand curve, the elasticity will change based on the slope and intercept of the curve at various places along the curve.

For example: The elasticity will be stronger in absolute terms at lower costs and smaller quantities, and smaller at higher prices and larger quantities. This is due to the fact that starting from a lower price and quantity will result in a bigger percentage change in quantity requested for a given change in price. As a result, the elasticity will change and not remain constant along the curve.

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Answer

1: 3x-y=0
2: 5x+y= -4
3: y=-x+4

Step-by-step explanation:

Answer:

10:25 and 100:2500

Step-by-step explanation:

just multiply both number by the same number

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

A≈907.92in²

Because:

A=πr2=π·172≈907.92028in²

Answer:

289π or 907.46 in

Step-by-step explanation:

The formula for area of a circle is π r².

The radius is 17, so the first step is 17².

17²= 289

Next, you multiply 289 by pi (3.14).

3.14 x 289 = 907.46.

Therefore, the area in terms of pi is 289π or 907.46 in.

Answer:

2.25

Step-by-step explanation:

k = 13.5 ÷ 6 = 11.25 ÷ 5 = 4.5 ÷ 2 =  2.25

The theorem that can be proven by rotating the plane 180 degrees about point O is the Vertical Angles Theorem.

The Vertical Angles Theorem states that when two lines intersect, the pairs of vertical angles formed are congruent. In the given scenario, when the plane is rotated 180 degrees about point O, the lines AB and CD are still intersecting at point O.

This rotation does not change the angles AOD, COB, and BOD. Therefore, we can conclude that angle AOD is congruent to angle COB, and angle BOD is congruent to itself. This proves the Vertical Angles Theorem, which states that vertical angles are congruent.

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Answer:

0.25 liter

Step-by-step explanation:

If TOY≅STU then according to the congruency rule of triangle the congruent to side US is YT.

Two triangles are said to be congruent according to SAS rules if the included angle between any two sides of the triangle is equal to the angle between the corresponding two sides and the side of the second triangle. There are total of 5 congruency rules of triangles.

A triangle is a three-sided polygon and is sometimes (less commonly) called a trine. Every triangle has three sides and three angles, some of which may be equal to another ones. 

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The equation that expresses the law of refraction is known as Snell’s law or the law of refraction.

The law of refraction is used to determine the direction in which light bends when it enters a new medium.

What is the law of refraction?

The law of refraction (also known as Snell's law) is a principle of optics used to explain how light behaves at the boundary between two media with different refractive indexes.

The law of refraction states that when light passes from one medium to another, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant.

The equation for the law of refraction is as follows:

$$\frac{\sin \theta_1}{\sin \theta_2}= \frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$$

Where:θ1 = Angle of incidence

           θ2 = Angle of refraction

           v1 = Velocity of light in medium 1

           v2 = Velocity of light in medium 2

           λ1 = Wavelength of light in medium 1

           λ2 = Wavelength of light in medium 2

           n1 = Refractive index of medium 1

           n2 = Refractive index of medium 2

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Answer:

I THINK IT IS C.

Step-by-step explanation:

The most general antiderivative of the given function is (8/5)x^5 - (3/2)ln|x^4 - 3| + C.

To find the most general antiderivative of the function f(x) = 8x^4 - 6/(x^4 - 3), we can use the following steps:

Step 1: Rewrite the function f(x) as a sum of simpler functions. Here, we can split the given function into two parts:

f(x) = 8x^4 - 6/(x^4 - 3)

= 8x^4 - 6(x^4 - 3)^(-1)

Step 2: Find the antiderivative of each part separately.

The antiderivative of 8x^4 is (8/5)x^5 + C, where C is a constant of integration.

To find the antiderivative of 6(x^4 - 3)^(-1), we can use the substitution u = x^4 - 3, which gives du/dx = 4x^3 and dx = (1/4x^3)du. Substituting these values, we get:

∫6(x^4 - 3)^(-1)dx = 6 ∫(x^4 - 3)^(-1)dx

= 6 ∫u^(-1) (1/4x^3)du

= (3/2)ln|x^4 - 3| + C

where ln denotes the natural logarithm.

Step 3: Combine the antiderivatives and simplify.

The most general antiderivative of the function f(x) is thus:

∫f(x)dx = ∫[8x^4 - 6/(x^4 - 3)]dx

= (8/5)x^5 - (3/2)ln|x^4 - 3| + C

where C is a constant of integration.

Therefore, the most general antiderivative of the given function is (8/5)x^5 - (3/2)ln|x^4 - 3| + C.

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Answer:

at X axis, Y=0 and at Y axis, X=0

accordingly substitute the value in the equation and find coordinates

Answer:

The intersection with the x-axis is the point with coordinates (4, 0)

The intersection with the y-axis is the point with coordinates (0, 9.6)

Step-by-step explanation:

The line intercepts (crosses) the x-axis when y = 0.

Therefore, substitute y = 0 into the equation and solve for x:

⇒ −2.4x + 9.6 = 0

⇒ −2.4x = -9.6

⇒ x = -9.6 ÷ −2.4

⇒ x = 4

So, the intersection with the x-axis is the point with coordinates (4, 0)

The line intercepts (crosses) the y-axis when x = 0.

Therefore, substitute x = 0 into the equation and solve for y:

⇒ y = −2.4(0) + 9.6

⇒ y = 9.6

So, the intersection with the y-axis is the point with coordinates (0, 9.6)

To find the least squares line y(x) for the given data points (-2, 2), (0, -1), (0, -1), (2, -1), (-1, -2), and (-2, -2), we need to use the method of least squares.

The normal equations for the approximating parameters b and m are obtained by setting the partial derivatives of the sum of the squares of the errors to zero. Solving these equations, we get the values of b and m, which can be used to find the least squares line y(x).

Applying the method of least squares, we get the normal equations:

n b + ∑x y = ∑y

∑x b + ∑x^2 m = ∑x y

where n is the number of data points. Solving these equations for b and m, we get:

b = -1.2

m = -0.25

Therefore, the least squares line y(x) is y(x) = -0.25x - 1.2. This line gives the best linear approximation to the given data points in the sense that it minimizes the sum of the squares of the errors between the actual y-values and the predicted y-values on the line.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

THE SLOPE OF 7/4 IS 0

The theorem (A) CPCTC represents the given condition of the triangle.

According to the formula CPCTC, which stands for "corresponding portions of congruent triangles are congruent," if two or more triangles are congruent, their corresponding angles and sides must also be congruent.

When demonstrating the congruence of triangles or other shapes, the term CPCT is employed.

When a student is asked to demonstrate that two angles or two sides are congruent, CPCTC is frequently employed at the end of the proof or close to it.

So, in the given triangle:

The angles are bold and the lines are not bold.

This represents that it is proved first that the angles are congruent.

And through CPCTC, we are concluding that the sides of the triangles are also congruent.

Therefore, the theorem (A) CPCTC represents the given condition of the triangle.

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Part A: The theoretical probability of drawing a red card is 0.32 or 32%.

Part B: The experimental probability of drawing a red card is 0.38 or 38%, and it is 6% greater than the theoretical probability.

Part A: The theoretical probability of drawing a red card from the hat is the number of red cards divided by the total number of cards in the hat:

\(P_{red}\) = 8 ÷ (8 + 6 + 7 + 4)

= 8 ÷ 25

= 0.32 or 32%.

Part B: The experimental probability of drawing a red card can be calculated by dividing the number of times a red card was drawn by the total number of trials:

\(P_{red}\) = 437 ÷ 1150

= 0.38 or 38%.

The difference between the experimental probability and the theoretical probability can be calculated as follows:

0.38 - 0.32

= 0.06 or 6%

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Step-by-step explanation:

24 ÷ 3:4

= 24 / 3 / 4

Basics

a / b / c = a / b / c / 1

....1 is normally invisible since a number

divided by 1 is itself. i wrote 1 down to show the reciprocal property.

a/b/c/1 = a/b × 1/c = a/bc ...Flip the number you're dividing with.

24/3/4 = 1/24 × 3/4 = 3 / 96 = 3 × 1 / 3 × 32 ...cancel the 3s'

= 1 / 32.

The value of cos(Z) is 12/13.

Since both triangles are similar, △ABC ~ △XYZ, the corresponding angles are congruent. It means:

m∠C = m∠Z, and

cos C = cos Z

The ratio for cosine is adjacent/hypotenuse. In a right triangle, the hypotenuse is the longest side, while an opposite side is the one across from a given angle, and an adjacent side is the one next to a given angle.

Since the side marked 12 is adjacent to angle C and 13 is the hypotenuse of this triangle; so, we know that:

cos C = 12/13

Thus, because of the angles and cosines for C and Z will be the same, it makes:

cos Z = cos C = 12/13

Hence, the value of cos(Z) is 12/13.

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Answer:

40.9

Step-by-step explanation:

Law Of Cosines:

   \(cos(A)=\frac{b^2+c^2-a^2}{2bc}\)

   This can generally be understand as the cosine(angle) = the sum of squares of the two other sides - the opposite side squares divided by 2 times the other two sides

   If this is to confusing to understand I'll just provide the formula for the other two angles which is essentially the same thing just different variables

   \(cos(B)=\frac{a^2+c^2-b^2}{2ac}\\\\cos(C)=\frac{a^2+b^2-c^2}{2ab}\)

Anyways for the law of cosines we need all three sides, but since we're given the two other sides, we can also rearrange the equation to solve for the other missing side.

Original Equation

\(cos(A)=\frac{b^2+c^2-a^2}{2bc}\\\)

Multiply both sides by 2bc

\(cos(A)*2bc=b^2+c^2-a^2\)

Add a^2 to both sides

\(cos(A)*2bc+a^2=b^2+c^2\)

Subtract 2bc * cosA from both sides

\(a^2=b^2+c^2-2bc*cos(A)\)

So this can be applied for any side, and it can be generally seen as: side ^2 = sum of squares of other two sides - 2 times the other two sides * cos(opposite angle of the original side). If that's to confusing you can also just look at the other formulas which are essentially the same just different variables

\(b^2=a^2+c^2-2ac * cos(B)\\c^2=a^2+b^2-2ab*cos(C)\)

anyways, applying this formula we get the equation:

\(a^2=20^2+30^2-2(20)(30)*cos(60)\)

Square and multiply values you get

\(a^2=400+900-1200*cos(60)\)

Now add the values and you can calculator cos(60) using a calculator or using the unit circle, both should give the same value

\(a^2=1300-1200(0.5)\)

Multiply

\(a^2=1300-600\)

Simplify

\(a^2=700\)

Take the square root of both sides

\(a\approx 26.4575\)

So now use this to solve for B using the original law of cosines equation. Plugging in all the sides you get the equation:

\(cos(B)=\frac{26.4575^2+30^2-20^2}{2(26.4575)(30)}\)

Square values and simplify denominator

\(cos(B)=\frac{700+900-400}{1,587.451}\)

Simplify numerator

\(cos(B)=\frac{1200}{1,587.451}\)

Convert to decimal

\(cos(B)\approx 0.755\)

Take the inverse cosine of both sides

\(B \approx cos^{-1}(0.755)\)

Approximate this using a calculator

\(B\approx 40.8934\)

Round to the nearest tenth

\(B\approx40.9\)

Answer:

l: y = 4

m: y = -2x + 4

n: y = x - 1

p: undefined

Step-by-step explanation:

See attached graph

Using the concepts of probability, we got that  0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time

We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.

Here, we are rolling a 6-faced dice.

Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.

So, every number has equal probability to come on the top face,  therefore the probability of getting 3 on the top face of dice is (1/6)

Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.

Now, picking one marble from 17 marble is can be done in \(^1^7C_1\)  ways, similarly  choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.

So, probability of picking 1 blue marble randomly=6/17

Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063

Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063

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The club has to send 57 coupons to existing members.

Given,

The number of coupons sent out by a new club to boost sales for next year's membership = 152

They provide 3 times as many to potential members than to existing members

We have to find the number of coupons they send to existing members;

Here,

x be the number of coupons to existing members.

Then,

3x = 152

Now,

x = 152/3 = 50.66 ≈ 57

That is,

The club has to send 57 coupons to existing members.

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Answer:

-224

Step-by-step explanation:

xyz^2

(2)(7)(-4)^2

14 x -16

-224